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Finding the Third Proportional to 5,082.75 and 5,639.63

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Solution

The third proportional to 5,082.75 and 5,639.63 is: 6,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.75 : 5,639.63 = 5,639.63 : x
  2. Step 2: Convert to fraction form
    5,082.75/5,639.63 = 5,639.63/x
  3. Step 3: Cross multiply
    5,082.75x = 5,639.63 × 5,639.63
  4. Step 4: Simplify right side
    5,082.75x = 31,805,370.14
  5. Step 5: Solve for x
    x = 31,805,370.14/5,082.75
  6. Step 6: Final answer
    x = 6,257.51

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.